In a frequency distribution the mean and median are $21$ and $22$ respectively, then its mode is approximately

20.5

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22.0

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24.0

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25.5

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Solution

The correct option is D $24.0$
Given, mean $= 21$ and median $= 22$
We know,
$M o d e = 3 \times M e d i a n - 2 \times M e a n$
$= 3 \times 22 - 2 \times 21$
$= 66 - 42$
$= 24$
Hence, the mode $= 24$

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